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In this work, a new SMS is proposed to achieve high tracking and suitable robustness. However, the chattering phenomenon should be regarded as the main drawback of the SMC. Therefore, a new compound control algorithm is used for reducing…

系统与控制 · 电气工程与系统科学 2020-12-15 Mehran Rahmani , Asif Al Zubayer Swapnil

The chattering response at the MRP shadow set switching point for the controlled attitude dynamics of a rigid tumbling spacecraft using delayed state feedback control with MRPs is investigated, where the time delay is assumed to be in the…

系统与控制 · 计算机科学 2015-10-07 Ehsan Samiei , Eric A. Butcher

We study a time minimization problem on the group of motions of a plane with admissible control in a half-disk. The considered control system describes a model of a car that can move forward on a plane and turn in place. Optimal…

最优化与控制 · 数学 2022-06-29 Alexey Mashtakov

This work proposes an open-loop methodology to solve chance constrained stochastic optimal control problems for linear systems with a stochastic control matrix. We consider a joint chance constraint for polytopic time-varying target sets…

系统与控制 · 电气工程与系统科学 2023-08-15 Shawn Priore , Meeko Oishi

In this paper we study the structural stability of a bang-singular-bang extremal in the minimum time problem between fixed points. The dynamics is single-input and control-affine. On the nominal problem ($r = 0$), we assume the coercivity…

最优化与控制 · 数学 2013-05-14 Laura Poggiolini , Gianna Stefani

Primer vector theory using averaged dynamics is well suited for optimizing low-thrust, many-revolution spacecraft trajectories, but is difficult to implement in a way that maintains both optimality and computational efficiency. An improved…

最优化与控制 · 数学 2026-02-19 Noah Lifset

The problem we focus on in this paper is to find a nearly optimal sliding mode controller of continuous-time nonlinear multiple-input multiple-output (MIMO) systems that can both reduce chattering and minimize the cost function, which is a…

系统与控制 · 电气工程与系统科学 2021-10-26 Lei Guo , Han Zhao , Yuan Song

In this paper, the trajectory planning problem for autonomous rendezvous and docking between a controlled spacecraft and a tumbling target is addressed. The use of a variable planning horizon is proposed in order to construct an appropriate…

系统与控制 · 电气工程与系统科学 2024-09-11 Mirko Leomanni , Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

Robust finite-time feedback controller introduced for the second-order systems in [1] can be seen as a non-overshooting quasi-continuous sliding mode control. The paper proposes a regularization scheme to suppress inherent chattering due to…

最优化与控制 · 数学 2025-06-06 Michael Ruderman , Denis Efimov

A global model is presented that can be used to study attitude maneuvers of a rigid spacecraft in a circular orbit about a large central body. The model includes gravity gradient effects that arise from the non-uniform gravity field and…

最优化与控制 · 数学 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This paper addresses the time-optimal control problem for a class of control systems which includes controlled mechanical systems with possible dissipation terms. The Lie algebras associated with such mechanical systems enjoy certain…

最优化与控制 · 数学 2007-05-23 M. Chyba , N. E. Leonard , E. D. Sontag

Through the Pontryagin maximum principle, we solve a minimal-time problem for a linear control system on a cylinder, considered as a homogeneous space of the solvable Lie group of dimension two. The main result explicitly shows the…

最优化与控制 · 数学 2023-10-12 Victor Ayala , Adriano Da Silva , Maria Torreblanca

This article considers a discrete-time robust optimal control problem on matrix Lie groups. The underlying system is assumed to be perturbed by exogenous unmeasured bounded disturbances, and the control problem is posed as a min-max optimal…

最优化与控制 · 数学 2020-07-28 Anant A. Joshi , Debasish Chatterjee , Ravi N. Banavar

In addition to the theoretical value of challenging optimal control problmes, recent progress in autonomous vehicles mandates further research in optimal motion planning for wheeled vehicles. Since current numerical optimal control…

最优化与控制 · 数学 2013-01-29 Hamidreza Chitsaz

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

最优化与控制 · 数学 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

TRIUMF ISAC 1 tuning controllers operate using minimum seeking sliding mode controller to minimize the reflected power in their cavities. As with all mini-mum seeking algorithms, chatter present in the control-ler can degrade its…

加速器物理 · 物理学 2022-10-13 Ken Fong , Ramona Leewe , Qiwen Zheng

This paper focuses on the development of minimum time control profiles for point-to-point motion of a gantry crane system in the presence of uncertainties in modal parameters. Assuming that the velocity of the trolley of the crane can be…

系统与控制 · 电气工程与系统科学 2023-01-23 Adrian Stein , Tarunraj Singh

Spacecraft attitude control using only magnetic torques is a periodic time-varying system as the Earth magnetic field in the spacecraft body frame changes periodically while the spacecraft circles around the Earth. The optimal controller…

最优化与控制 · 数学 2017-01-25 Yaguang Yang

In this paper, mechanical models with Newton's Law of impacts are studied. One of the most interesting properties in some of these models is chattering. This phenomenon is understood as the appearance of an infinite number of impacts…

动力系统 · 数学 2016-01-06 M. Akhmet , S. Çağ

We analyze actuator chattering in a scalar integrator system subject to second-order actuator dynamics with an unknown time constant and first-order sliding-mode control, using both a conventional static sliding manifold and a dynamic…

系统与控制 · 电气工程与系统科学 2026-05-12 Patricia Nöther , Lars Watermann , Johann Reger